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RECONSTRUCTION OF BINARY RELATIONS FROM THEIR RESTRICTIONS OF CARDINALITY 2, 3, 4 and (n - 1) II

✍ Scribed by Gérard Lopez; Claire Rauzy

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
718 KB
Volume
38
Category
Article
ISSN
0044-3050

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✦ Synopsis

Abstract

We shall prove here that any binary relation on a base E with cardinality n > 6 is reconstructible from its restrictions of cardinality 2, 3, 4 and (n ‐ 1). This proof needs results of part I of this paper where we characterize any pair of relations R, R' which are 2‐, 3‐ and 4‐hypomorphic. As a corollary we obtain that any binary relation is (n ‐ 4)‐reconstructible (when n > 9).

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